(8%) Problem 12: A bowling ballm1.6 kg is dropped from a height h. It falls a di
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(8%) Problem 12: A bowling ballm1.6 kg is dropped from a height h. It falls a distance, d, before encountering a large tube r 4.2 m which is connected by two bolts, each of which can sustain a force of F-190 N before failing ©theexpertta.com 50% Part (a) Write an expression for the maximum distance, d, above the pipe from which the ball can be dropped so the bolts do not fail. Grade Summa Deductions Potential ry 090 100% Submissions Attempts remaining:;5 (400 per attempt) detailed view Submit Hint Hints: 2% deduction per hint. Hints r remaining: 3 Feedback: 1% deduction per feedback. 50% Part (b) What is the distance, in meters?Explanation / Answer
a) we know,
speed of the ball at the bottom of the tube,
v = sqrt(2*g*(d+r))
Normal force acting on the ball, N = m*g + m*v^2/r
2*F = m*g + m*v^2/r
2*F = m*g + m*2*g*(d+r)/r
2*F = m*g*(1 + 2*(d+r)/r)
2*F/(m*g) = 1 + 2*d/r + 2
2*F/(m*g) - 3 = 2*d/r
==> d = (r/2)*(2*F/(m*g) - 3)
b) d = (4.2/2)*(2*190/(1.6*9.8) - 3)
= 44.6 m <<<<<<------------Answer
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